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Worksheets

Grade 6 PSSA Reveiw

Total questions: 36

Worksheet time: 1hrs 26mins

Name
Class
Date
1.

What is the formula for the area of a triangle?

a)

A = 1/2 bh

b)

A = bh

c)

A = 2bh

d)

A = b/h

2.

What is the formula for the area of a rectangle?

a)

A = lw

b)

A = 2l + 2w

c)

A = l + w

d)

A=lw2A = lw^2

3.

What is the formula for the area of a square?

a)

A=s2A = s^2

b)

A = 2s

c)

A=s3A = s^3

d)

A = 4s

4.

What is the formula for the area of a parallelogram?

a)

A = bh

b)

A = 2πr

c)

A = 1/2bh

d)

A=s2A = s^2

5.

How do you calculate the area of a trapezoid using its bases and height?

a)

A=1/2h(b1+b2)

b)

A=1/2bh

c)

A=LW

d)

A=bh

6.

What is the formula for the volume of a rectangular prism?

a)

V = lwh

b)

V = l + w + h

c)

V = 2lw + 2lh + 2wh

d)

V=l2+w2+h2V = l^2 + w^2 + h^2

7.

What is the formula for the surface area of a cube?

a)

SA=6s2SA = 6s^2

b)

SA=4s2SA = 4s^2

c)

SA=s3SA = s^3

d)

SA=2s2SA = 2s^2

8.

What is the formula for the surface area of a triangular prism?

a)

SA = bh + aw + bw + cw

b)

SA = 2πr² + 2πrh

c)

SA = 2lw + 2lh + 2wh

d)

SA = πr²h

9.

Divide: 4/5 ÷ 2/3

a)

2/15

b)

5/6

c)

1 1/5

d)

4 4/5

10.

The prime factorizations of two numbers are shown below.

first number: a · a · b · b

second number: b · b · c

Which expression represents a common factor of the two numbers?

a)

a · c

b)

b · b

c)

a · b · c

d)

b · b · b · b

11.

Kellen and Luke each have a bank account. - Kellen’s bank account increased in value last month. - Luke’s bank account decreased in value last month. Each boy plots a point on the same number line to represent the amount by which the value of his bank account changed last month. Which statement about the boys’ completed number line must be true?

a)

The two points are the same distance from 0.

b)

The two points are located on opposite sides of 0.

c)

The point representing the decrease in Luke’s bank account is at 0.

d)

The point representing the increase in Kellen’s bank account is located to the left of the point representing the decrease in Luke’s bank account.

12.

A museum displays paintings and photographs. The ratio of paintings on display to photographs on display is 5:2. Which statement about the number of paintings and the number of photographs on display at the museum must be true?

a)

The museum has 3 more paintings on display than photographs on display.

b)

The museum has 3 more photographs on display than paintings on display.

c)

For every 2 paintings on display at the museum, there are 5 photographs on display.

d)

For every 2 photographs on display at the museum, there are 5 paintings on display.

13.

A student has two books. The first book weighs b pounds. The second book weighs 3 7/8 pounds. Together, the two books weigh 8 1/4 pounds. Which equation and solution represent this situation?

a)

2 • b = 8 1/4 b = 4 1/8 pounds

b)

b + 3 7/8 = 8 1/4 b = 4 3/8 pounds

c)

b + 3 7/8 = 8 1/4 b = 12 1/2 pounds

d)

2 • b = 8 1/4 b = 16 1/2 pounds

14.

Ms. Diaz rents a picnic area for a school party. She pays a fixed fee plus an additional $4 per person to rent the picnic area. Some students and 3 teachers, including Ms. Diaz, attend the school party. The equation shown below represents this situation. y = 60 + 4(3 + x) What does the x in the equation most likely represent?

a)

the number of students who attend the school party

b)

the total number of people who attend the school party

c)

the fixed fee, in dollars, Ms. Diaz pays to rent the picnic area

d)

the total amount of money, in dollars, Ms. Diaz pays to rent the picnic area

15.

A rectangular box has a length of 1 2/3 feet, a width of 1 1/2 feet, and a height of 3/5 foot. What is the volume, in cubic feet, of the rectangular box?

a)

1 1/2

b)

2 1/5

c)

4 2/5

d)

4 1/2

16.

What is the surface area of the rectangular prism?

a)

64 square inches

b)

112 square inches

c)

128 square inches

d)

224 square inches

17.

The numbers of visitors at a museum during the last fourteen days are listed below. 50 50 53 60 62 63 75 85 86 88 90 92 96 100 Which box-and-whisker plot represents the numbers of visitors at the museum during the last fourteen days?

a)

[Box-and-whisker plot A]

b)

[Box-and-whisker plot B]

c)

[Box-and-whisker plot C]

d)

[Box-and-whisker plot D]

18.

The list below shows the number of text messages a teacher sent each day for 7 days. 14 16 18 22 23 23 24 Which expression shows how to determine the mean absolute deviation of the number of text messages the teacher sent?

a)

(−8 + −6 + −4 + 0 + 1 + 1 + 2) ÷ 7

b)

(−6 + −4 + −2 + 2 + 3 + 3 + 4) ÷ 7

c)

(6 + 4 + 2 + 2 + 3 + 3 + 4) ÷ 7

d)

(8 + 6 + 4 + 0 + 1 + 1 + 2) ÷ 7

19.

The histogram below represents the ages, in years, of the sixteen students in a chess tournament. Which statement about the ages of the students in the chess tournament is true?

a)

The interval from 4 years to 6 years shows a gap in the data, and the interval from 10 years to 12 years shows the peak of the data.

b)

The interval from 4 years to 6 years shows a gap in the data, and the interval from 16 years to 18 years shows the peak of the data.

c)

The interval from 7 years to 9 years shows a gap in the data, and the interval from 10 years to 12 years shows the peak of the data.

d)

The interval from 7 years to 9 years shows a gap in the data, and the interval from 16 years to 18 years shows the peak of the data.

20.

The high temperatures, in degrees Fahrenheit (°F), in a city for the first 10 days of August are shown below. 78 81 82 84 84 84 86 90 90 90 Which statement about the high temperatures is true?

a)

The high temperatures are mostly clustered, making the mean value of 84.9°F an appropriate measure of center.

b)

The high temperatures are mostly clustered, making the median value of 84.9°F an appropriate measure of center.

c)

The high temperatures are skewed to the right, making the mean value of 84.9°F an appropriate measure of center.

d)

The high temperatures are skewed to the right, making the median value of 84.9°F an appropriate measure of center.

21.

A local theater is selling tickets to several performances. The local theater is offering a discount for purchasing 4 tickets to a performance. When 4 tickets with the same price are purchased, a $6 discount is applied. The expression shown below can be used to determine the total amount of money, in dollars, a customer is charged when purchasing 4 tickets with the same price. 4n - 6 A. What is the total amount of money, in dollars, a customer is charged when n = 30?

a)

114

b)

120

c)

124

d)

106

22.

What does the term 4n represent in the context of the situation from part A?

a)

The full price for 4 tickets

b)

The number of groups in the situation

c)

The number of items in each group

d)

The sum of 4 and n

23.

The ticket price for a performance on Thursday evening is t dollars. The ticket price for a performance on Friday evening is 35,whichis35, which is 12 more than it is on Thursday evening. The equation shown below represents this situation: t + 12 = 35 What is the ticket price (t), in dollars, for a performance on Thursday evening?

a)

$23

b)

$12

c)

$35

d)

$25

24.

With the discount applied to some of the tickets purchased, the average ticket price is p dollars. The expression shown below can be used to determine the amount of money, in dollars, the local theater expects to earn based on the average ticket price.

250p - 5p^2 - 2,000

Why should the local theater not set the average ticket price to less than 10ortomorethan10 or to more than 40?

a)

Because the theater would lose money if the price is set outside this range.

b)

Because the theater would sell more tickets if the price is set outside this range.

c)

Because the average ticket price must always be exactly $25.

d)

Because the expression is only valid for prices between $20 and $30.

25.
a)
5/7
b)
4/33
c)
8/66
d)
11/48
26.
a)
13/3
b)
13/27
c)
9/39
d)
3/13
27.

Label the parts of the fraction division problem:

28.

This question is a(n) ​ (a)   problem.

Choose from the below words
division
multiplication
addition
subtraction
29.

This question is a(n) ​ (a)   problem.

Choose from the below words
division
multiplication
subtraction
addition
30.

Divide: 58 1/3 by 6 2/3.

a)

7 3/8

b)

8 3/4

c)

9 2/3

d)

10 1/6

31.

Multiply: 2.5 x 3.5 x 0.01

a)

0.0625

b)

0.0875

c)

0.625

d)

0.875

32.

Emily has two pieces of ribbon, one is 23 yards long and the other is 4 1/4 yards long. She needs 1 5/6 yards of ribbon to make each bow. What is the greatest number of bows Emily can make?

a)

12

b)

14

c)

15

d)

19

33.
A window is shown on the grid.
Which ordered pairs best represent the 4 vertices of the window?
a)
(4, 2), (2, 2), (5, 2), (4, 5)
b)
(2, 2), (2, 4), (5, 2), (5, 4)
c)
(2, 2), (4, 2), (4, 5), (2, 5)
d)
(4, 2), (5, 4), (5, 2), (2, 2)
34.
Which list shows the numbers in ascending order?
a)
|-3:5 |, - 3:25,  3:75
b)
3:25,  - 3:5,  |3:75|
c)
- 3:5, | - 3:75 |,  3:25
d)
| - 3:25 |, 3:5, 3:75
35.
Four points are graphed on a line. Which point is located at the opposite of -2?
a)
Point J
b)
Point K
c)
Point L
d)
Point M
36.
Which decimal is equivalent to 4/5 ?
a)
0.4
b)
0.8
c)
1.3
d)
0.5